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The variable
was introduced by Feynman [Feynman69] scaling variable in the discussion of inclusive hadronic interactions at large energies.
is the longitudinal momentum of a particle,
is the maximum allowed
, and
, the total centre-of-mass energy of the interaction. Also used sometimes is the transverse
x defined by
(with
the transverse momentum).
In hadron-hadron collisions, x1 and x2 are often used to designate the energy fraction carried by the two colliding partons. The parton-parton system is defined (assuming massless partons and head-on collisions) by a centre-of-mass energy
The probability density function of the xi is called the structure function.
Rudolf K. Bock, 9 April 1998